Pith Number

pith:LBA6EYNQ

pith:2025:LBA6EYNQ5CNLD7NYJSVWKZMC3K

not attested not anchored not stored refs pending

On the weak and strong Lefschetz properties for initial ideals of determinantal ideals with respect to diagonal monomial orders

Hongmiao Yu

arxiv:2506.05193 v2 · 2025-06-05 · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LBA6EYNQ5CNLD7NYJSVWKZMC3K}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-03T01:17:11.710309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5841e261b0e89ab1fdb84cab656582daace1225c395969ab48ffc5668260c110

Aliases

arxiv: 2506.05193 · arxiv_version: 2506.05193v2 · doi: 10.48550/arxiv.2506.05193 · pith_short_12: LBA6EYNQ5CNL · pith_short_16: LBA6EYNQ5CNLD7NY · pith_short_8: LBA6EYNQ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/LBA6EYNQ5CNLD7NYJSVWKZMC3K \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 5841e261b0e89ab1fdb84cab656582daace1225c395969ab48ffc5668260c110

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a497c007e507ae7b4db72abda080a39b7b5f23af7632643754befbf3937bcef2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2025-06-05T16:05:45Z",
    "title_canon_sha256": "7dc0873c7b19e158cebcb4ff7a229c558497957cf7124048de10cca4dc6b063b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.05193",
    "kind": "arxiv",
    "version": 2
  }
}